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Finding the Fourth Proportional to 1,327.53, 1,831.95 and 767.96

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Solution

The fourth proportional to 1,327.53, 1,831.95 and 767.96 is: 1,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.53 : 1,831.95 = 767.96 : x
  2. Step 2: Convert to fraction form
    1,327.53/1,831.95 = 767.96/x
  3. Step 3: Cross multiply
    1,327.53x = 1,831.95 × 767.96
  4. Step 4: Simplify right side
    1,327.53x = 1,406,864.32
  5. Step 5: Solve for x
    x = 1,406,864.32/1,327.53
  6. Step 6: Final answer
    x = 1,059.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.